Question
In: Advanced Math
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by...
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by an external force of 7sin(t/4)N and moves in a medium that imparts a viscous force of 3 N when the speed of the mass is 6 cm/s.If the mass is set in motion from its equilibrium position with an initial velocity of 4 cm/s, determine the position u of the mass at any time t. Use 9.8 m/s^2 as the acceleration due to gravity. Pay close attention to the units.
Solutions
Colby Messinger answered 5 months agoRelated Solutions
A mass 7kg of stretches a spring 18cm. The mass is acted on by an external...
A mass 7kg of stretches a spring 18cm. The mass is acted on by
an external force of 5sin(t/2) N and moves in a medium that imparts
a viscous force of 4N when the speed of the mass is 8cm/s. If the
mass is set in motion from its equilibrium position with an initial
velocity of 4cm/s, determine the position of the mass at any time
t. Use 9.8m/s2 as the acceleration due to gravity. Pay close
attention to the...
A mass that weight 5lb stretches a spring 3in. The system is acted on by an...
A mass that weight 5lb stretches a spring 3in. The system is
acted on by an external force 6sin(8sqrt2 t)lb. If the mass is
pulled down 4in and then released, determine the position of the
mass at any time t. Use 32ft/s2 as the acceleration due to gravity.
Pay close attention to the units.
u(t)=
A mass that weight 15lb15lb stretches a spring 8in8in. The system is acted on by an...
A mass that weight 15lb15lb stretches a spring 8in8in. The
system is acted on by an external force
9sin(43–√t)lb9sin(43t)lb.If the mass is pulled down 3in3in and
then released, determine the position of the mass at any time tt.
Use 32ft/s232ft/s2 as the acceleration due to gravity. Pay close
attention to the units. Answer must be in inches
A 1-kg mass stretches a spring 20 cm. The system is attached to a dashpot that...
A 1-kg mass stretches a spring 20 cm. The system is attached to
a dashpot that imparts a damping force equal to 14 times the
instantaneous velocity of the mass. Find the equation of motion if
the mass is released from equilibrium with an upward velocity of 3
m/sec.
SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL
EQUATIONS)
SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL
EQUATIONS)
SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL
EQUATIONS)
SOLVE THIS USING MATLAB...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
A mass weighing 16 pounds stretches a spring
8
3
feet. The mass is initially released from rest from a point 7
feet below the equilibrium position, and the subsequent motion
takes place in a medium that offers a damping force that is
numerically equal to
1
2
the instantaneous velocity. Find the equation of motion
x(t)
if the mass is driven by an external force equal to
f(t) = 25
cos(3t).
(Use
g = 32 ft/s2
for the acceleration...
A) A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released...
A)
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass
is initially released from rest from a point 4 feet below the
equilibrium position, and the subsequent motion takes place in a
medium that offers a damping force that is numerically equal to 1/2
the instantaneous velocity. Find the equation of motion x(t) if the
mass id riven by an external force equal to f(t) = 20 cos 3t use
g=32 ft/s^2 for the acceleration due to...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass
is initially released from rest from a point 7 feet below the
equilibrium position, and the subsequent motion takes place in a
medium that offers a damping force that is numerically equal to 1 2
the instantaneous velocity. Find the equation of motion x(t) if the
mass is driven by an external force equal to f(t) = 25 cos 3t. (Use
g = 32 ft/s2 for the...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
A mass weighing 16
pounds stretches a spring
8
3
feet. The mass is
initially released from rest from a point 5 feet below the
equilibrium position, and the subsequent motion takes place in a
medium that offers a damping force that is numerically equal to
1
2
the instantaneous
velocity. Find the equation of motion
x(t)
if the mass is driven
by an external force equal to
f(t)
= 20 cos(3t).
(Use
g = 32
ft/s2
for the acceleration...
A 16-lb weight stretches a spring 16 ft. The spring-mass system is in a medium with...
A 16-lb weight stretches a spring 16 ft. The spring-mass
system is in a medium with a damping constant of 1.5 lb-sec/ft,
and an external force given by
f (t)= 3+e^-3t (in pounds) is being applied. What is the
solution function describing the position of the mass at any time
of the mass is released from
1ft below the equilibrium position with an initial velocity of 2
ft/sec downward?
A mass of 50 g stretches a spring 3.828125 cm. If the mass is set in...
A mass of 50 g stretches a spring 3.828125 cm. If the mass is
set in motion from its equilibrium position with a downward
velocity of 50 cms, and if there is no damping, determine the
position u of the mass at any time t.
Enclose arguments of functions in parentheses. For example,
sin(2x).
Assume g=9.8 ms2. Enter an exact answer.
u(t)= m
When does the mass first return to its equilibrium position?
Enter an exact answer.
t= s
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